eMLR - assumption testing

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Last updated: 2021-03-11

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

• pairs of seven potential predictor variables and
• C* and seven potential predictor variables

were investigated based on:

• property-property plots and
• calculated correlation coefficients.

2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

for (i_basin in unique(GLODAP$basin)) {
# i_basin <- unique(GLODAP$basin)[1]

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
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691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
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13666ca	Donghe-Zhu	2021-03-01
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5937141	Donghe-Zhu	2021-02-27
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a265efb	Donghe-Zhu	2021-02-27
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f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
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5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
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59e006e	Donghe-Zhu	2021-01-31
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ac99ae5	jens-daniel-mueller	2021-01-29
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372adf5	Donghe-Zhu	2021-01-29
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eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
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c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Individual correlation plots for each basin, era and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {
  
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[1]
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin,
               era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          GLODAP_highlight <- GLODAP_basin_era %>%
            mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                             "in", "out")) %>%
            arrange(desc(gamma_highlight))
          
          p <- GLODAP_highlight %>%
            ggpairs(
              columns = c(
                params_local$MLR_target,
                params_local$MLR_predictors
              ),
              ggplot2::aes(
                col = gamma_highlight,
                fill = gamma_highlight,
                alpha = 0.01
              )
            ) +
            scale_fill_manual(values = c("red", "grey")) +
            scale_color_manual(values = c("red", "grey")) +
            labs(
              title = paste(
                i_era,
                "|",
                i_basin,
                "| Gamma slab",
                i_gamma_slab,
                "| # obs total",
                nrow(GLODAP_basin_era),
                "| # obs slab",
                nrow(GLODAP_highlight %>%
                       filter(gamma_highlight == "in"))
              )
            )
          
          png(
            filename = paste(
              path_version_figures,
              "Observations_correlation/",
              paste(
                "Predictor_correlation",
                i_era,
                i_basin,
                i_gamma_slab,
                ".png",
                sep = "_"
              ),
              sep = ""
            ),
            width = 12,
            height = 12,
            units = "in",
            res = 300
          )
          
          print(p)
          
          dev.off()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated individually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

rm(cor_predictors_temp, cor_target_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

# calculate min, max, mean across all eras
cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

# plot figure
cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

Past versions of correlation_predictor_pairs-1.png

Version	Author	Date
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8584603	0.8266115	0.8819213
aou + nitrate	Atlantic	(26,26.5]	0.9207190	0.9153348	0.9244668
aou + nitrate	Atlantic	(26.5,26.75]	0.9753757	0.9738311	0.9773553
aou + nitrate	Atlantic	(26.75,27]	0.9834817	0.9814922	0.9853460
aou + nitrate	Atlantic	(27,27.25]	0.9631818	0.9598786	0.9655219
aou + nitrate	Atlantic	(27.25,27.5]	0.8471955	0.8369377	0.8553777
aou + nitrate	Atlantic	(27.5,27.75]	0.6019543	0.5864528	0.6209969
aou + nitrate	Atlantic	(27.75,27.85]	0.3957136	0.3757277	0.4122557
aou + nitrate	Atlantic	(27.85,27.95]	0.5615964	0.4724808	0.6496719
aou + nitrate	Atlantic	(27.95,28.05]	0.3804199	0.3167072	0.4215376
aou + nitrate	Atlantic	(28.05,28.1]	0.6025012	0.5705959	0.6392889
aou + nitrate	Atlantic	(28.1,28.15]	0.8820236	0.8598995	0.9028250
aou + nitrate	Atlantic	(28.15,28.2]	0.9357384	0.9336298	0.9398899
aou + nitrate	Atlantic	(28.2, Inf]	0.9222117	0.9190820	0.9260898
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9329779	0.9304021	0.9360307
aou + nitrate	Indo-Pacific	(26,26.5]	0.8518885	0.8479640	0.8543417
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7790778	0.7746842	0.7850696
aou + nitrate	Indo-Pacific	(26.75,27]	0.8412990	0.8370368	0.8470841
aou + nitrate	Indo-Pacific	(27,27.25]	0.9242482	0.9189051	0.9290681
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9493282	0.9471184	0.9511318
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9724560	0.9717913	0.9733183
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9910550	0.9904836	0.9916523
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9896590	0.9888119	0.9906647
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9892451	0.9888462	0.9895711
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9893008	0.9887788	0.9900598
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908002	0.9903335	0.9910997
aou + phosphate	Atlantic	(-Inf,26]	0.9287385	0.9145388	0.9377956
aou + phosphate	Atlantic	(26,26.5]	0.8964109	0.8886822	0.9013403
aou + phosphate	Atlantic	(26.5,26.75]	0.9523456	0.9483806	0.9558474
aou + phosphate	Atlantic	(26.75,27]	0.9642973	0.9609418	0.9663368
aou + phosphate	Atlantic	(27,27.25]	0.9232822	0.9211483	0.9246839
aou + phosphate	Atlantic	(27.25,27.5]	0.7837227	0.7708754	0.7941271
aou + phosphate	Atlantic	(27.5,27.75]	0.5304728	0.5125694	0.5519130
aou + phosphate	Atlantic	(27.75,27.85]	0.3250474	0.3040592	0.3430515
aou + phosphate	Atlantic	(27.85,27.95]	0.5265269	0.4327796	0.6193227
aou + phosphate	Atlantic	(27.95,28.05]	0.3623539	0.2973788	0.4041138
aou + phosphate	Atlantic	(28.05,28.1]	0.5967294	0.5657198	0.6332841
aou + phosphate	Atlantic	(28.1,28.15]	0.8818256	0.8598042	0.9025344
aou + phosphate	Atlantic	(28.15,28.2]	0.9420956	0.9397447	0.9465318
aou + phosphate	Atlantic	(28.2, Inf]	0.9280617	0.9263062	0.9292934
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9675029	0.9669479	0.9685302
aou + phosphate	Indo-Pacific	(26,26.5]	0.9601633	0.9590835	0.9613463
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9732884	0.9727976	0.9735463
aou + phosphate	Indo-Pacific	(26.75,27]	0.9751652	0.9744456	0.9762754
aou + phosphate	Indo-Pacific	(27,27.25]	0.9854637	0.9852383	0.9855852
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862666	0.9857219	0.9866095
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889961	0.9889685	0.9890323
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945479	0.9943724	0.9946399
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950163	0.9947906	0.9954158
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909597	0.9907581	0.9913333
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9924545	0.9918445	0.9930599
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9915982	0.9907944	0.9923535
aou + phosphate_star	Atlantic	(-Inf,26]	0.2423005	0.1928133	0.2822293
aou + phosphate_star	Atlantic	(26,26.5]	0.4037599	0.3739364	0.4409341
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1725884	0.1297563	0.1990617
aou + phosphate_star	Atlantic	(26.75,27]	-0.1145088	-0.1231830	-0.1012611
aou + phosphate_star	Atlantic	(27,27.25]	-0.0386277	-0.0696779	-0.0051992
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1460847	-0.1704089	-0.1279037
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3205333	-0.3447855	-0.2983952
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3494692	-0.3762285	-0.3094754
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1598682	0.0246244	0.2997816
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0231002	-0.0994208	0.0284954
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3066161	0.2539865	0.3595953
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7437196	0.7025034	0.7813020
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8482844	0.8430001	0.8572371
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8217279	0.8172523	0.8283161
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5937736	0.5875310	0.6035955
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4236193	0.4209592	0.4272086
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4813790	0.4643600	0.4910159
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6145861	0.5992121	0.6338326
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6956652	0.6821802	0.7120876
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3493045	0.2958069	0.3989142
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2910807	-0.3441631	-0.2434783
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5734405	-0.5836868	-0.5573694
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3729928	-0.3938370	-0.3540081
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3785089	-0.4090024	-0.3479514
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2748220	-0.3522246	-0.2213773
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1491938	0.1358150	0.1602845
aou + silicate	Atlantic	(-Inf,26]	0.1228226	0.0364329	0.1856052
aou + silicate	Atlantic	(26,26.5]	0.2764232	0.2402128	0.3016936
aou + silicate	Atlantic	(26.5,26.75]	0.6175804	0.5931660	0.6406395
aou + silicate	Atlantic	(26.75,27]	0.7987563	0.7912785	0.8103001
aou + silicate	Atlantic	(27,27.25]	0.7386518	0.7351089	0.7442758
aou + silicate	Atlantic	(27.25,27.5]	0.5294119	0.5165711	0.5460647
aou + silicate	Atlantic	(27.5,27.75]	0.2184261	0.2062112	0.2247835
aou + silicate	Atlantic	(27.75,27.85]	-0.0561086	-0.0799877	-0.0436399
aou + silicate	Atlantic	(27.85,27.95]	0.2669605	0.1549713	0.3787608
aou + silicate	Atlantic	(27.95,28.05]	0.3104929	0.2465865	0.3533182
aou + silicate	Atlantic	(28.05,28.1]	0.6265900	0.6057525	0.6554681
aou + silicate	Atlantic	(28.1,28.15]	0.9122158	0.8972208	0.9267489
aou + silicate	Atlantic	(28.15,28.2]	0.9444393	0.9411159	0.9470128
aou + silicate	Atlantic	(28.2, Inf]	0.7339328	0.7172965	0.7521245
aou + silicate	Indo-Pacific	(-Inf,26]	0.8368184	0.8339467	0.8400774
aou + silicate	Indo-Pacific	(26,26.5]	0.7723463	0.7707356	0.7753319
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7834931	0.7805646	0.7868890
aou + silicate	Indo-Pacific	(26.75,27]	0.8738559	0.8709404	0.8777089
aou + silicate	Indo-Pacific	(27,27.25]	0.9400771	0.9392422	0.9407514
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9546586	0.9542765	0.9552728
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9650867	0.9643931	0.9656973
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829469	0.9824470	0.9832373
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9821105	0.9816893	0.9824737
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875396	0.9869115	0.9879667
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9907566	0.9899160	0.9914571
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8239986	0.8230544	0.8246705
nitrate + phosphate	Atlantic	(-Inf,26]	0.6937173	0.6051445	0.7593596
nitrate + phosphate	Atlantic	(26,26.5]	0.8334226	0.8255172	0.8468011
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9682046	0.9660826	0.9695012
nitrate + phosphate	Atlantic	(26.75,27]	0.9804867	0.9800065	0.9812576
nitrate + phosphate	Atlantic	(27,27.25]	0.9866230	0.9862957	0.9869124
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917125	0.9915996	0.9918240
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944145	0.9941421	0.9945961
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965099	0.9964607	0.9965722
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986564	0.9985214	0.9987925
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993957	0.9993144	0.9994364
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997916	0.9997721	0.9998055
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998167	0.9998096	0.9998271
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977398	0.9976464	0.9979142
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9896413	0.9888768	0.9900674
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9537913	0.9506018	0.9581887
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8669055	0.8605885	0.8712648
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7968139	0.7928161	0.8040735
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8628391	0.8569041	0.8691379
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9343043	0.9286451	0.9389290
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9540958	0.9519706	0.9560159
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9789421	0.9785353	0.9792687
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946660	0.9943388	0.9948955
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9965321	0.9961889	0.9968943
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987763	0.9986718	0.9988910
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981048	0.9978806	0.9982250
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9950980	0.9949427	0.9952016
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1424775	0.1013653	0.2126446
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4074455	0.3547445	0.4341965
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2873699	0.2403186	0.3159696
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0026169	-0.0128397	0.0116816
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2088993	0.1708927	0.2508398
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3911872	0.3817052	0.4036879
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5467845	0.5406656	0.5529017
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7190315	0.6965657	0.7360149
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9035215	0.8905678	0.9181485
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9134203	0.9100834	0.9165558
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9430635	0.9379931	0.9461772
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9699470	0.9663964	0.9727820
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9780079	0.9774495	0.9788874
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9696128	0.9687507	0.9702461
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7308632	0.7263791	0.7350555
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5577852	0.5501554	0.5691785
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5713342	0.5676668	0.5775269
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7017816	0.6845041	0.7185738
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7733491	0.7599242	0.7860120
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4592581	0.4116902	0.5023851
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1587255	-0.2150656	-0.1100190
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4991088	-0.5111174	-0.4855874
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2645357	-0.2827162	-0.2490432
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2459240	-0.2779089	-0.2113548
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1398124	-0.2153183	-0.0838258
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2576206	0.2420091	0.2677446
nitrate + silicate	Atlantic	(-Inf,26]	0.5935233	0.5784461	0.6036406
nitrate + silicate	Atlantic	(26,26.5]	0.5621809	0.5450756	0.5728961
nitrate + silicate	Atlantic	(26.5,26.75]	0.6999571	0.6782830	0.7225515
nitrate + silicate	Atlantic	(26.75,27]	0.8551774	0.8481245	0.8626148
nitrate + silicate	Atlantic	(27,27.25]	0.8705821	0.8648363	0.8735192
nitrate + silicate	Atlantic	(27.25,27.5]	0.8552163	0.8522417	0.8590201
nitrate + silicate	Atlantic	(27.5,27.75]	0.8600388	0.8578174	0.8638334
nitrate + silicate	Atlantic	(27.75,27.85]	0.8376675	0.8363898	0.8384205
nitrate + silicate	Atlantic	(27.85,27.95]	0.9142135	0.9076897	0.9225747
nitrate + silicate	Atlantic	(27.95,28.05]	0.9686345	0.9659295	0.9716791
nitrate + silicate	Atlantic	(28.05,28.1]	0.9835450	0.9822474	0.9846936
nitrate + silicate	Atlantic	(28.1,28.15]	0.9859006	0.9853802	0.9863662
nitrate + silicate	Atlantic	(28.15,28.2]	0.9148742	0.9134094	0.9177656
nitrate + silicate	Atlantic	(28.2, Inf]	0.7041783	0.6946683	0.7097828
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8570937	0.8516934	0.8609596
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7875236	0.7765084	0.8064615
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8227093	0.8199236	0.8272667
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8742182	0.8699260	0.8785463
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9377106	0.9332951	0.9408551
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9596296	0.9585155	0.9608022
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9791916	0.9784824	0.9796809
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9898313	0.9895652	0.9900311
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9891776	0.9889780	0.9894002
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9915983	0.9913078	0.9921187
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9901571	0.9899374	0.9903729
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8343692	0.8329393	0.8354469
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5286855	0.4753990	0.5860756
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7554953	0.7261739	0.7774512
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4600460	0.4323689	0.4826767
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1473909	0.1338887	0.1560735
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3434516	0.3105640	0.3797715
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4950790	0.4851988	0.5074641
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6237269	0.6197809	0.6289976
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7704129	0.7501105	0.7854050
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9212710	0.9105996	0.9335179
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9218905	0.9192104	0.9245877
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9458177	0.9403910	0.9490870
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9703820	0.9667319	0.9733329
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9760170	0.9755686	0.9768654
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9719458	0.9709979	0.9734085
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7627721	0.7592186	0.7678483
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6546360	0.6530221	0.6563537
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6629930	0.6505557	0.6695433
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7616291	0.7497877	0.7735868
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8024876	0.7925192	0.8149407
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4959563	0.4486622	0.5411191
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1489661	-0.2038645	-0.0999830
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4875587	-0.5000106	-0.4707374
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2821869	-0.3015833	-0.2661762
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2543993	-0.2846537	-0.2212815
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1584474	-0.2333891	-0.1036284
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2708319	0.2518650	0.2814048
sal + aou	Atlantic	(-Inf,26]	-0.4160333	-0.4422819	-0.3653613
sal + aou	Atlantic	(26,26.5]	-0.3754254	-0.4301488	-0.3469029
sal + aou	Atlantic	(26.5,26.75]	0.2616583	0.2446454	0.2907258
sal + aou	Atlantic	(26.75,27]	0.4546522	0.4461428	0.4615610
sal + aou	Atlantic	(27,27.25]	0.3663676	0.3253800	0.4092778
sal + aou	Atlantic	(27.25,27.5]	0.3891585	0.3833121	0.3961306
sal + aou	Atlantic	(27.5,27.75]	0.6721953	0.6593148	0.6895658
sal + aou	Atlantic	(27.75,27.85]	0.6676394	0.6275897	0.6912220
sal + aou	Atlantic	(27.85,27.95]	0.2150275	0.0919149	0.3425664
sal + aou	Atlantic	(27.95,28.05]	0.0345451	-0.0269711	0.0994952
sal + aou	Atlantic	(28.05,28.1]	-0.3061221	-0.3542967	-0.2588251
sal + aou	Atlantic	(28.1,28.15]	-0.7349314	-0.7706315	-0.6949033
sal + aou	Atlantic	(28.15,28.2]	-0.8024773	-0.8053872	-0.7968380
sal + aou	Atlantic	(28.2, Inf]	-0.6743124	-0.6862258	-0.6591232
sal + aou	Indo-Pacific	(-Inf,26]	-0.2328709	-0.2433284	-0.2238998
sal + aou	Indo-Pacific	(26,26.5]	-0.1592954	-0.1643986	-0.1549997
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1947435	-0.2005169	-0.1853888
sal + aou	Indo-Pacific	(26.75,27]	-0.4092748	-0.4197599	-0.3883957
sal + aou	Indo-Pacific	(27,27.25]	-0.5975035	-0.6145578	-0.5837861
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2722417	-0.3254158	-0.2181623
sal + aou	Indo-Pacific	(27.5,27.75]	0.4920050	0.4514882	0.5417924
sal + aou	Indo-Pacific	(27.75,27.85]	0.7616348	0.7536103	0.7696906
sal + aou	Indo-Pacific	(27.85,27.95]	0.7592806	0.7549339	0.7621874
sal + aou	Indo-Pacific	(27.95,28.05]	0.8415252	0.8313593	0.8515109
sal + aou	Indo-Pacific	(28.05,28.1]	0.8456331	0.8304571	0.8552142
sal + aou	Indo-Pacific	(28.1, Inf]	0.3289004	0.3174181	0.3374250
sal + nitrate	Atlantic	(-Inf,26]	-0.6818570	-0.6887964	-0.6774491
sal + nitrate	Atlantic	(26,26.5]	-0.4155367	-0.4708345	-0.3720611
sal + nitrate	Atlantic	(26.5,26.75]	0.1906207	0.1700347	0.2299204
sal + nitrate	Atlantic	(26.75,27]	0.3945170	0.3878095	0.4039986
sal + nitrate	Atlantic	(27,27.25]	0.2003191	0.1486809	0.2558439
sal + nitrate	Atlantic	(27.25,27.5]	-0.0527653	-0.0914017	-0.0187138
sal + nitrate	Atlantic	(27.5,27.75]	0.1972840	0.1725017	0.2414270
sal + nitrate	Atlantic	(27.75,27.85]	-0.3381076	-0.3757955	-0.3026832
sal + nitrate	Atlantic	(27.85,27.95]	-0.6202105	-0.6491503	-0.5978829
sal + nitrate	Atlantic	(27.95,28.05]	-0.8390480	-0.8546690	-0.8200986
sal + nitrate	Atlantic	(28.05,28.1]	-0.9189848	-0.9246191	-0.9137695
sal + nitrate	Atlantic	(28.1,28.15]	-0.9550186	-0.9590532	-0.9502052
sal + nitrate	Atlantic	(28.15,28.2]	-0.9491979	-0.9565128	-0.9415349
sal + nitrate	Atlantic	(28.2, Inf]	-0.8491014	-0.8549425	-0.8442983
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3630912	-0.3706188	-0.3554586
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3928164	-0.3960968	-0.3903830
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4330608	-0.4348367	-0.4321607
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5666543	-0.5835725	-0.5478871
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7255672	-0.7303526	-0.7194127
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.4022975	-0.4504684	-0.3517926
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3913977	0.3553330	0.4404795
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7127530	0.6927585	0.7309765
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7065088	0.6999537	0.7099578
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7789417	0.7656484	0.7906724
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7759149	0.7561400	0.7873751
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2816603	0.2698289	0.2898595
sal + phosphate	Atlantic	(-Inf,26]	-0.3010631	-0.3667554	-0.2214405
sal + phosphate	Atlantic	(26,26.5]	-0.6311131	-0.6622759	-0.5969985
sal + phosphate	Atlantic	(26.5,26.75]	0.0173950	0.0019464	0.0410819
sal + phosphate	Atlantic	(26.75,27]	0.2777682	0.2668062	0.2886877
sal + phosphate	Atlantic	(27,27.25]	0.0654145	0.0145998	0.1216067
sal + phosphate	Atlantic	(27.25,27.5]	-0.1664477	-0.2057910	-0.1296978
sal + phosphate	Atlantic	(27.5,27.75]	0.1007574	0.0772062	0.1431040
sal + phosphate	Atlantic	(27.75,27.85]	-0.4092994	-0.4450306	-0.3754110
sal + phosphate	Atlantic	(27.85,27.95]	-0.6522426	-0.6796794	-0.6276612
sal + phosphate	Atlantic	(27.95,28.05]	-0.8500799	-0.8640748	-0.8314941
sal + phosphate	Atlantic	(28.05,28.1]	-0.9233464	-0.9291112	-0.9178064
sal + phosphate	Atlantic	(28.1,28.15]	-0.9553875	-0.9596638	-0.9505062
sal + phosphate	Atlantic	(28.15,28.2]	-0.9329388	-0.9420472	-0.9236970
sal + phosphate	Atlantic	(28.2, Inf]	-0.7789099	-0.7867329	-0.7744749
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3492422	-0.3557979	-0.3402783
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3740674	-0.3826067	-0.3665491
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3663187	-0.3711260	-0.3634110
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5144290	-0.5332657	-0.4929895
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6794136	-0.6888600	-0.6711082
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3761274	-0.4288745	-0.3209941
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3924891	0.3524997	0.4420632
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7070288	0.6938726	0.7208984
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7149244	0.7083756	0.7188791
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7954354	0.7838886	0.8055978
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8029147	0.7859066	0.8133386
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3472969	0.3359696	0.3554573
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2493592	-0.3027183	-0.1941032
sal + phosphate_star	Atlantic	(26,26.5]	-0.8716953	-0.8877424	-0.8591647
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7891053	-0.7982292	-0.7825750
sal + phosphate_star	Atlantic	(26.75,27]	-0.7628293	-0.7804287	-0.7506594
sal + phosphate_star	Atlantic	(27,27.25]	-0.8001661	-0.8091807	-0.7826138
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8595691	-0.8876019	-0.8404105
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5882488	-0.6096502	-0.5565787
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8704282	-0.8783016	-0.8663494
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8719381	-0.8886215	-0.8464537
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9424444	-0.9482667	-0.9325850
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9804397	-0.9840473	-0.9785200
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9877568	-0.9896812	-0.9862187
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9696390	-0.9765239	-0.9609766
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8348910	-0.8404703	-0.8271204
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7042539	-0.7093415	-0.6974098
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8641243	-0.8723219	-0.8596642
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8746330	-0.8842543	-0.8674917
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8418035	-0.8579631	-0.8324006
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8977350	-0.9012849	-0.8907745
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8089059	-0.8230334	-0.7852073
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8086965	-0.8238263	-0.7958373
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8929540	-0.9117311	-0.8785222
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7460690	-0.7663089	-0.7335730
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6543075	-0.6684480	-0.6386241
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5983951	-0.6362054	-0.5751947
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0752710	0.0684994	0.0805049
sal + silicate	Atlantic	(-Inf,26]	-0.7687896	-0.7801676	-0.7559678
sal + silicate	Atlantic	(26,26.5]	0.1552173	0.1190386	0.1762024
sal + silicate	Atlantic	(26.5,26.75]	0.2932976	0.2519577	0.3515178
sal + silicate	Atlantic	(26.75,27]	0.1787482	0.1644035	0.2044764
sal + silicate	Atlantic	(27,27.25]	-0.1102706	-0.1592072	-0.0575001
sal + silicate	Atlantic	(27.25,27.5]	-0.3466511	-0.3869699	-0.3055694
sal + silicate	Atlantic	(27.5,27.75]	-0.1383101	-0.1712699	-0.0952923
sal + silicate	Atlantic	(27.75,27.85]	-0.6883703	-0.7169509	-0.6576508
sal + silicate	Atlantic	(27.85,27.95]	-0.8113715	-0.8365365	-0.7723139
sal + silicate	Atlantic	(27.95,28.05]	-0.8972603	-0.9063249	-0.8839898
sal + silicate	Atlantic	(28.05,28.1]	-0.9159481	-0.9226823	-0.9068784
sal + silicate	Atlantic	(28.1,28.15]	-0.9244289	-0.9315442	-0.9169442
sal + silicate	Atlantic	(28.15,28.2]	-0.7613119	-0.7780706	-0.7467099
sal + silicate	Atlantic	(28.2, Inf]	-0.2753219	-0.2873019	-0.2602585
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5402873	-0.5473789	-0.5277631
sal + silicate	Indo-Pacific	(26,26.5]	-0.5833847	-0.5920834	-0.5770982
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6128403	-0.6159919	-0.6108112
sal + silicate	Indo-Pacific	(26.75,27]	-0.6622065	-0.6753934	-0.6503458
sal + silicate	Indo-Pacific	(27,27.25]	-0.7562977	-0.7644430	-0.7481486
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4779682	-0.5254074	-0.4246449
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3254358	0.2828669	0.3781316
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6804930	0.6638832	0.6985109
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7058344	0.6952297	0.7124827
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8068057	0.7930974	0.8186569
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8209093	0.8049369	0.8299900
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6705365	0.6566401	0.6816427
sal + temp	Atlantic	(-Inf,26]	0.6764554	0.6398707	0.7174248
sal + temp	Atlantic	(26,26.5]	0.9570896	0.9543090	0.9588402
sal + temp	Atlantic	(26.5,26.75]	0.9678474	0.9655875	0.9715384
sal + temp	Atlantic	(26.75,27]	0.9705812	0.9689669	0.9716632
sal + temp	Atlantic	(27,27.25]	0.9632592	0.9628476	0.9638038
sal + temp	Atlantic	(27.25,27.5]	0.9720616	0.9707505	0.9741826
sal + temp	Atlantic	(27.5,27.75]	0.9675390	0.9668418	0.9684042
sal + temp	Atlantic	(27.75,27.85]	0.9869739	0.9864409	0.9874710
sal + temp	Atlantic	(27.85,27.95]	0.9797588	0.9744081	0.9828635
sal + temp	Atlantic	(27.95,28.05]	0.9758879	0.9752775	0.9763135
sal + temp	Atlantic	(28.05,28.1]	0.9865295	0.9851841	0.9873131
sal + temp	Atlantic	(28.1,28.15]	0.9832699	0.9828307	0.9835346
sal + temp	Atlantic	(28.15,28.2]	0.9791706	0.9778979	0.9798992
sal + temp	Atlantic	(28.2, Inf]	0.9369071	0.9342558	0.9420177
sal + temp	Indo-Pacific	(-Inf,26]	0.8198123	0.8171329	0.8250234
sal + temp	Indo-Pacific	(26,26.5]	0.9532677	0.9513251	0.9546749
sal + temp	Indo-Pacific	(26.5,26.75]	0.9804321	0.9798084	0.9807811
sal + temp	Indo-Pacific	(26.75,27]	0.9791385	0.9783127	0.9799011
sal + temp	Indo-Pacific	(27,27.25]	0.9746537	0.9735258	0.9758218
sal + temp	Indo-Pacific	(27.25,27.5]	0.9218595	0.9200961	0.9233164
sal + temp	Indo-Pacific	(27.5,27.75]	0.8726246	0.8702990	0.8764706
sal + temp	Indo-Pacific	(27.75,27.85]	0.9705839	0.9683933	0.9724605
sal + temp	Indo-Pacific	(27.85,27.95]	0.9399850	0.9377794	0.9438168
sal + temp	Indo-Pacific	(27.95,28.05]	0.9452247	0.9436124	0.9461336
sal + temp	Indo-Pacific	(28.05,28.1]	0.9756066	0.9746650	0.9771960
sal + temp	Indo-Pacific	(28.1, Inf]	0.4333136	0.4175400	0.4447132
silicate + phosphate	Atlantic	(-Inf,26]	-0.1045003	-0.2393000	0.0061056
silicate + phosphate	Atlantic	(26,26.5]	0.0377596	0.0025708	0.0710512
silicate + phosphate	Atlantic	(26.5,26.75]	0.5686689	0.5188630	0.6129818
silicate + phosphate	Atlantic	(26.75,27]	0.8446571	0.8401574	0.8475425
silicate + phosphate	Atlantic	(27,27.25]	0.9021758	0.8968750	0.9050377
silicate + phosphate	Atlantic	(27.25,27.5]	0.8965657	0.8939693	0.9000716
silicate + phosphate	Atlantic	(27.5,27.75]	0.8969631	0.8951008	0.8997922
silicate + phosphate	Atlantic	(27.75,27.85]	0.8774743	0.8761672	0.8781320
silicate + phosphate	Atlantic	(27.85,27.95]	0.9330764	0.9280969	0.9396513
silicate + phosphate	Atlantic	(27.95,28.05]	0.9747880	0.9729657	0.9770684
silicate + phosphate	Atlantic	(28.05,28.1]	0.9861570	0.9851736	0.9871105
silicate + phosphate	Atlantic	(28.1,28.15]	0.9881671	0.9877911	0.9886304
silicate + phosphate	Atlantic	(28.15,28.2]	0.9369787	0.9359136	0.9385953
silicate + phosphate	Atlantic	(28.2, Inf]	0.7958999	0.7864228	0.8023833
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8851470	0.8829120	0.8864515
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8779428	0.8776290	0.8782337
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8649696	0.8630519	0.8665845
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9203595	0.9197942	0.9212967
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9574757	0.9562773	0.9582892
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9719282	0.9714920	0.9725200
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9805987	0.9800425	0.9810813
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882808	0.9876361	0.9886340
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9874832	0.9870143	0.9878588
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9936782	0.9932538	0.9941821
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9943590	0.9942267	0.9945007
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8634363	0.8618486	0.8644656
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1566760	-0.2272876	-0.0590447
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2894116	-0.3268307	-0.2511450
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0315676	-0.0711765	0.1069325
silicate + phosphate_star	Atlantic	(26.75,27]	0.1984037	0.1740191	0.2257128
silicate + phosphate_star	Atlantic	(27,27.25]	0.5389120	0.5097779	0.5749671
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6750453	0.6665052	0.6890461
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7967129	0.7874883	0.8084404
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9061249	0.8897729	0.9171059
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9643235	0.9607276	0.9707739
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9230860	0.9188988	0.9267668
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9202415	0.9104826	0.9253146
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9385671	0.9317428	0.9437289
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8667611	0.8655258	0.8684731
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7346123	0.7312471	0.7395438
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7732972	0.7705786	0.7778084
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7790738	0.7779181	0.7799609
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7999630	0.7984337	0.8009295
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8215857	0.8146124	0.8280509
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8179942	0.8041466	0.8329089
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5322368	0.4850534	0.5750061
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0984072	-0.1558548	-0.0455684
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4728397	-0.4853642	-0.4547556
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2679560	-0.2825547	-0.2551863
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2762324	-0.3063445	-0.2416532
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1936125	-0.2639396	-0.1407323
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4356169	0.4186530	0.4451258
temp + aou	Atlantic	(-Inf,26]	-0.6757727	-0.6950869	-0.6655158
temp + aou	Atlantic	(26,26.5]	-0.4223412	-0.4623101	-0.3986257
temp + aou	Atlantic	(26.5,26.75]	0.1442907	0.1211757	0.1732981
temp + aou	Atlantic	(26.75,27]	0.3884653	0.3770829	0.3987878
temp + aou	Atlantic	(27,27.25]	0.3377381	0.2963743	0.3813161
temp + aou	Atlantic	(27.25,27.5]	0.4186213	0.4072313	0.4281407
temp + aou	Atlantic	(27.5,27.75]	0.6657016	0.6580184	0.6798347
temp + aou	Atlantic	(27.75,27.85]	0.6800828	0.6436034	0.7039113
temp + aou	Atlantic	(27.85,27.95]	0.2251230	0.1000812	0.3425500
temp + aou	Atlantic	(27.95,28.05]	0.1534642	0.0952310	0.2236490
temp + aou	Atlantic	(28.05,28.1]	-0.2154347	-0.2658989	-0.1586470
temp + aou	Atlantic	(28.1,28.15]	-0.6524519	-0.6929539	-0.6079602
temp + aou	Atlantic	(28.15,28.2]	-0.7498912	-0.7584326	-0.7401476
temp + aou	Atlantic	(28.2, Inf]	-0.7387200	-0.7451038	-0.7305130
temp + aou	Indo-Pacific	(-Inf,26]	-0.3816392	-0.3848430	-0.3769791
temp + aou	Indo-Pacific	(26,26.5]	-0.2053950	-0.2095649	-0.2026547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1749185	-0.1819648	-0.1635772
temp + aou	Indo-Pacific	(26.75,27]	-0.3555828	-0.3690613	-0.3353161
temp + aou	Indo-Pacific	(27,27.25]	-0.5577936	-0.5735068	-0.5460869
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2441747	-0.2890212	-0.1981942
temp + aou	Indo-Pacific	(27.5,27.75]	0.4113225	0.3757387	0.4552757
temp + aou	Indo-Pacific	(27.75,27.85]	0.7601744	0.7536426	0.7653391
temp + aou	Indo-Pacific	(27.85,27.95]	0.7384753	0.7353699	0.7401641
temp + aou	Indo-Pacific	(27.95,28.05]	0.7953435	0.7851995	0.8049619
temp + aou	Indo-Pacific	(28.05,28.1]	0.8302938	0.8151944	0.8440020
temp + aou	Indo-Pacific	(28.1, Inf]	0.7913511	0.7839720	0.7985856
temp + nitrate	Atlantic	(-Inf,26]	-0.7545231	-0.7608466	-0.7461245
temp + nitrate	Atlantic	(26,26.5]	-0.4596663	-0.4997600	-0.4261796
temp + nitrate	Atlantic	(26.5,26.75]	0.0667467	0.0405613	0.1054011
temp + nitrate	Atlantic	(26.75,27]	0.3107718	0.3059980	0.3194354
temp + nitrate	Atlantic	(27,27.25]	0.1634247	0.1103321	0.2206497
temp + nitrate	Atlantic	(27.25,27.5]	-0.0127406	-0.0503896	0.0266845
temp + nitrate	Atlantic	(27.5,27.75]	0.1772305	0.1591617	0.2098155
temp + nitrate	Atlantic	(27.75,27.85]	-0.3343461	-0.3672163	-0.3009172
temp + nitrate	Atlantic	(27.85,27.95]	-0.6319098	-0.6543059	-0.6186476
temp + nitrate	Atlantic	(27.95,28.05]	-0.8038816	-0.8155377	-0.7928224
temp + nitrate	Atlantic	(28.05,28.1]	-0.8790222	-0.8842452	-0.8694284
temp + nitrate	Atlantic	(28.1,28.15]	-0.9128193	-0.9176638	-0.9066298
temp + nitrate	Atlantic	(28.15,28.2]	-0.9212816	-0.9287098	-0.9118843
temp + nitrate	Atlantic	(28.2, Inf]	-0.9104038	-0.9156774	-0.9006210
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5291376	-0.5329039	-0.5264408
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4433787	-0.4537736	-0.4370475
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4199387	-0.4221308	-0.4171521
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5275921	-0.5416395	-0.5086376
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7029962	-0.7054964	-0.6986189
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4066239	-0.4477202	-0.3632595
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2671191	0.2332427	0.3120744
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7072371	0.7006461	0.7200314
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6722528	0.6672327	0.6753793
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7191076	0.7053654	0.7303216
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7570904	0.7376659	0.7730656
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7228937	0.7119030	0.7331294
temp + phosphate	Atlantic	(-Inf,26]	-0.6900981	-0.7402595	-0.6570003
temp + phosphate	Atlantic	(26,26.5]	-0.6513852	-0.6718506	-0.6265006
temp + phosphate	Atlantic	(26.5,26.75]	-0.0903384	-0.1121633	-0.0651050
temp + phosphate	Atlantic	(26.75,27]	0.2027881	0.1946699	0.2111587
temp + phosphate	Atlantic	(27,27.25]	0.0436104	-0.0086288	0.1018934
temp + phosphate	Atlantic	(27.25,27.5]	-0.1193455	-0.1583993	-0.0773303
temp + phosphate	Atlantic	(27.5,27.75]	0.0854949	0.0681601	0.1159319
temp + phosphate	Atlantic	(27.75,27.85]	-0.4043489	-0.4354424	-0.3724071
temp + phosphate	Atlantic	(27.85,27.95]	-0.6632842	-0.6830936	-0.6495033
temp + phosphate	Atlantic	(27.95,28.05]	-0.8163174	-0.8266025	-0.8052188
temp + phosphate	Atlantic	(28.05,28.1]	-0.8833320	-0.8888569	-0.8732245
temp + phosphate	Atlantic	(28.1,28.15]	-0.9137760	-0.9190021	-0.9073307
temp + phosphate	Atlantic	(28.15,28.2]	-0.9118454	-0.9206287	-0.9010349
temp + phosphate	Atlantic	(28.2, Inf]	-0.8759060	-0.8825113	-0.8676034
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4996755	-0.5036289	-0.4956918
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4260219	-0.4267617	-0.4245735
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3488321	-0.3559150	-0.3433906
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4691079	-0.4850697	-0.4483409
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6498884	-0.6574557	-0.6434445
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3702468	-0.4153112	-0.3237254
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2911817	0.2564941	0.3351777
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7030150	0.6946205	0.7133676
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6848964	0.6797983	0.6876554
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7315112	0.7196955	0.7409553
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7790766	0.7619314	0.7942390
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7463236	0.7338649	0.7584974
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6702908	-0.7185409	-0.6309203
temp + phosphate_star	Atlantic	(26,26.5]	-0.8615880	-0.8761557	-0.8502523
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8110460	-0.8210327	-0.8023554
temp + phosphate_star	Atlantic	(26.75,27]	-0.8033380	-0.8203097	-0.7929149
temp + phosphate_star	Atlantic	(27,27.25]	-0.7992772	-0.8120420	-0.7776704
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8352091	-0.8670341	-0.8113538
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6052071	-0.6206814	-0.5832081
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8749536	-0.8801867	-0.8712356
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8896490	-0.8989700	-0.8801710
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9546455	-0.9576542	-0.9487408
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9722188	-0.9742416	-0.9702767
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9744793	-0.9756988	-0.9730837
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9710442	-0.9781627	-0.9624463
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9355419	-0.9408549	-0.9252039
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8432493	-0.8470014	-0.8407371
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9109806	-0.9153055	-0.9065025
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8784821	-0.8857089	-0.8704966
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8423569	-0.8578982	-0.8344924
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9135990	-0.9187237	-0.9034212
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9123964	-0.9232546	-0.8962599
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9380621	-0.9477148	-0.9271037
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9212127	-0.9312356	-0.9096249
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8363438	-0.8502734	-0.8274725
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7749771	-0.7870069	-0.7627673
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6660147	-0.6950008	-0.6453075
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3083987	-0.3213051	-0.2987091
temp + silicate	Atlantic	(-Inf,26]	-0.3776222	-0.3871291	-0.3709874
temp + silicate	Atlantic	(26,26.5]	0.1151297	0.0927225	0.1289065
temp + silicate	Atlantic	(26.5,26.75]	0.1913343	0.1483532	0.2540483
temp + silicate	Atlantic	(26.75,27]	0.0661049	0.0540249	0.0890014
temp + silicate	Atlantic	(27,27.25]	-0.1611761	-0.2100126	-0.1077317
temp + silicate	Atlantic	(27.25,27.5]	-0.3014179	-0.3452263	-0.2526349
temp + silicate	Atlantic	(27.5,27.75]	-0.1657237	-0.1885086	-0.1342996
temp + silicate	Atlantic	(27.75,27.85]	-0.6765330	-0.7036474	-0.6449163
temp + silicate	Atlantic	(27.85,27.95]	-0.8158882	-0.8274090	-0.7978853
temp + silicate	Atlantic	(27.95,28.05]	-0.8599533	-0.8672640	-0.8519493
temp + silicate	Atlantic	(28.05,28.1]	-0.8701151	-0.8784041	-0.8542733
temp + silicate	Atlantic	(28.1,28.15]	-0.8770326	-0.8868695	-0.8660760
temp + silicate	Atlantic	(28.15,28.2]	-0.7515800	-0.7665094	-0.7365649
temp + silicate	Atlantic	(28.2, Inf]	-0.5089916	-0.5223504	-0.4958191
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6022635	-0.6106776	-0.5915370
temp + silicate	Indo-Pacific	(26,26.5]	-0.6092968	-0.6132627	-0.6044062
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6037153	-0.6045155	-0.6023171
temp + silicate	Indo-Pacific	(26.75,27]	-0.6341117	-0.6453981	-0.6221984
temp + silicate	Indo-Pacific	(27,27.25]	-0.7404035	-0.7469319	-0.7342327
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4683991	-0.5086695	-0.4230289
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2128336	0.1753338	0.2581809
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6746909	0.6647691	0.6871470
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6597304	0.6523715	0.6634457
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7445398	0.7297760	0.7558533
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7994873	0.7841261	0.8126133
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5853050	0.5657421	0.6016085

rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_target_predictor <- cor_target_predictor %>% 
  rename(predictor = term)

# calculate min, max, mean across all eras
cor_target_predictor_stats <- cor_target_predictor %>%
  select(-era) %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise_all(list(mean_r = mean, min_r = min, max_r = max)) %>% 
  ungroup()

# plot figure
cor_target_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

Past versions of correlation_predictors-1.png

Version	Author	Date
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
17f1c4a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3553655	0.3351745	0.3951482
aou	Atlantic	(26,26.5]	-0.0018370	-0.1412442	0.1166553
aou	Atlantic	(26.5,26.75]	0.0145564	-0.1331670	0.2031005
aou	Atlantic	(26.75,27]	-0.0782693	-0.2754315	0.1561880
aou	Atlantic	(27,27.25]	-0.3865402	-0.5247852	-0.2324597
aou	Atlantic	(27.25,27.5]	-0.2921734	-0.4143189	-0.1446323
aou	Atlantic	(27.5,27.75]	-0.1526115	-0.2028965	-0.1035981
aou	Atlantic	(27.75,27.85]	-0.0468400	-0.1101520	0.0003210
aou	Atlantic	(27.85,27.95]	-0.4794187	-0.5441219	-0.4229441
aou	Atlantic	(27.95,28.05]	-0.3292806	-0.4003382	-0.2700676
aou	Atlantic	(28.05,28.1]	-0.5766690	-0.5884389	-0.5675095
aou	Atlantic	(28.1,28.15]	-0.8700555	-0.8763836	-0.8635737
aou	Atlantic	(28.15,28.2]	-0.9218199	-0.9258385	-0.9162869
aou	Atlantic	(28.2, Inf]	-0.8685738	-0.8750164	-0.8613922
aou	Indo-Pacific	(-Inf,26]	-0.1052007	-0.2667576	0.0349329
aou	Indo-Pacific	(26,26.5]	-0.4755282	-0.6059392	-0.3217173
aou	Indo-Pacific	(26.5,26.75]	-0.7589845	-0.8170573	-0.6748715
aou	Indo-Pacific	(26.75,27]	-0.8282601	-0.8758096	-0.7663760
aou	Indo-Pacific	(27,27.25]	-0.8184664	-0.8765579	-0.7472566
aou	Indo-Pacific	(27.25,27.5]	-0.7110257	-0.8402427	-0.5276334
aou	Indo-Pacific	(27.5,27.75]	-0.3266902	-0.7523233	0.2750737
aou	Indo-Pacific	(27.75,27.85]	0.0019346	-0.5312244	0.6783149
aou	Indo-Pacific	(27.85,27.95]	0.2078437	-0.2180154	0.6662413
aou	Indo-Pacific	(27.95,28.05]	0.0770722	-0.2820676	0.4905644
aou	Indo-Pacific	(28.05,28.1]	0.1827638	-0.1504809	0.5275767
aou	Indo-Pacific	(28.1, Inf]	0.5162646	0.4298098	0.5959944
nitrate	Atlantic	(-Inf,26]	0.0170361	-0.0826447	0.0874896
nitrate	Atlantic	(26,26.5]	-0.2216833	-0.3562006	-0.1073604
nitrate	Atlantic	(26.5,26.75]	-0.1376540	-0.2855598	0.0519508
nitrate	Atlantic	(26.75,27]	-0.2003080	-0.3880168	0.0203467
nitrate	Atlantic	(27,27.25]	-0.5869180	-0.6972178	-0.4627803
nitrate	Atlantic	(27.25,27.5]	-0.7156114	-0.7843091	-0.6299310
nitrate	Atlantic	(27.5,27.75]	-0.8510291	-0.8788993	-0.8204081
nitrate	Atlantic	(27.75,27.85]	-0.9113280	-0.9235630	-0.8955736
nitrate	Atlantic	(27.85,27.95]	-0.9641865	-0.9698335	-0.9547726
nitrate	Atlantic	(27.95,28.05]	-0.9443977	-0.9457395	-0.9435856
nitrate	Atlantic	(28.05,28.1]	-0.9906013	-0.9926077	-0.9882605
nitrate	Atlantic	(28.1,28.15]	-0.9932279	-0.9951848	-0.9906995
nitrate	Atlantic	(28.15,28.2]	-0.9937361	-0.9974533	-0.9882781
nitrate	Atlantic	(28.2, Inf]	-0.9766832	-0.9799651	-0.9717311
nitrate	Indo-Pacific	(-Inf,26]	-0.1220274	-0.2812147	0.0207636
nitrate	Indo-Pacific	(26,26.5]	-0.4622943	-0.5757885	-0.3465060
nitrate	Indo-Pacific	(26.5,26.75]	-0.6705950	-0.7240043	-0.5921379
nitrate	Indo-Pacific	(26.75,27]	-0.7173276	-0.7535185	-0.6598778
nitrate	Indo-Pacific	(27,27.25]	-0.7681823	-0.8242524	-0.7006354
nitrate	Indo-Pacific	(27.25,27.5]	-0.7059110	-0.8250349	-0.5366332
nitrate	Indo-Pacific	(27.5,27.75]	-0.3515469	-0.7575488	0.2267375
nitrate	Indo-Pacific	(27.75,27.85]	0.0334875	-0.4952384	0.6925664
nitrate	Indo-Pacific	(27.85,27.95]	0.2649152	-0.1466125	0.7002932
nitrate	Indo-Pacific	(27.95,28.05]	0.1539415	-0.1896698	0.5481444
nitrate	Indo-Pacific	(28.05,28.1]	0.2653758	-0.0454654	0.5884019
nitrate	Indo-Pacific	(28.1, Inf]	0.5444476	0.4743582	0.6093569
phosphate	Atlantic	(-Inf,26]	0.4325000	0.3824275	0.4829901
phosphate	Atlantic	(26,26.5]	0.0262513	-0.0752283	0.0941089
phosphate	Atlantic	(26.5,26.75]	-0.1271423	-0.2548414	0.0436623
phosphate	Atlantic	(26.75,27]	-0.2312772	-0.4052229	-0.0326016
phosphate	Atlantic	(27,27.25]	-0.6319506	-0.7296479	-0.5197142
phosphate	Atlantic	(27.25,27.5]	-0.7621536	-0.8182240	-0.6925162
phosphate	Atlantic	(27.5,27.75]	-0.8751349	-0.8970446	-0.8505872
phosphate	Atlantic	(27.75,27.85]	-0.9340759	-0.9421696	-0.9227021
phosphate	Atlantic	(27.85,27.95]	-0.9660435	-0.9729293	-0.9547925
phosphate	Atlantic	(27.95,28.05]	-0.9467910	-0.9485164	-0.9445007
phosphate	Atlantic	(28.05,28.1]	-0.9905306	-0.9929178	-0.9878393
phosphate	Atlantic	(28.1,28.15]	-0.9932014	-0.9950027	-0.9907995
phosphate	Atlantic	(28.15,28.2]	-0.9926200	-0.9961005	-0.9890140
phosphate	Atlantic	(28.2, Inf]	-0.9833373	-0.9856956	-0.9821301
phosphate	Indo-Pacific	(-Inf,26]	-0.1525460	-0.3147629	-0.0085560
phosphate	Indo-Pacific	(26,26.5]	-0.6025795	-0.7208681	-0.4600303
phosphate	Indo-Pacific	(26.5,26.75]	-0.8282059	-0.8763991	-0.7544539
phosphate	Indo-Pacific	(26.75,27]	-0.8622665	-0.8982052	-0.8132900
phosphate	Indo-Pacific	(27,27.25]	-0.8542829	-0.9005961	-0.7975069
phosphate	Indo-Pacific	(27.25,27.5]	-0.7626164	-0.8713186	-0.6074410
phosphate	Indo-Pacific	(27.5,27.75]	-0.3558603	-0.7573669	0.2159475
phosphate	Indo-Pacific	(27.75,27.85]	0.0429133	-0.4797758	0.6966799
phosphate	Indo-Pacific	(27.85,27.95]	0.2487494	-0.1632050	0.6876581
phosphate	Indo-Pacific	(27.95,28.05]	0.1436708	-0.1982314	0.5363370
phosphate	Indo-Pacific	(28.05,28.1]	0.2369997	-0.0741106	0.5595132
phosphate	Indo-Pacific	(28.1, Inf]	0.4977901	0.4214208	0.5682605
phosphate_star	Atlantic	(-Inf,26]	0.0944838	0.0678117	0.1420208
phosphate_star	Atlantic	(26,26.5]	0.1183409	0.0913789	0.1648609
phosphate_star	Atlantic	(26.5,26.75]	-0.3439623	-0.3646340	-0.3087793
phosphate_star	Atlantic	(26.75,27]	-0.4649955	-0.5723924	-0.4017052
phosphate_star	Atlantic	(27,27.25]	-0.6222540	-0.7010033	-0.5344917
phosphate_star	Atlantic	(27.25,27.5]	-0.7559061	-0.8317994	-0.6846816
phosphate_star	Atlantic	(27.5,27.75]	-0.7892167	-0.8288664	-0.7458745
phosphate_star	Atlantic	(27.75,27.85]	-0.8794864	-0.9230313	-0.8322532
phosphate_star	Atlantic	(27.85,27.95]	-0.8928053	-0.9252326	-0.8525161
phosphate_star	Atlantic	(27.95,28.05]	-0.8672260	-0.8942527	-0.8427043
phosphate_star	Atlantic	(28.05,28.1]	-0.9377123	-0.9609641	-0.9109491
phosphate_star	Atlantic	(28.1,28.15]	-0.9628830	-0.9767614	-0.9471000
phosphate_star	Atlantic	(28.15,28.2]	-0.9750785	-0.9840592	-0.9633625
phosphate_star	Atlantic	(28.2, Inf]	-0.9786815	-0.9844674	-0.9706085
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0161285	-0.1379037	0.0973741
phosphate_star	Indo-Pacific	(26,26.5]	-0.5818968	-0.6251420	-0.5307063
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6290022	-0.6570687	-0.6040787
phosphate_star	Indo-Pacific	(26.75,27]	-0.5793182	-0.6002986	-0.5471132
phosphate_star	Indo-Pacific	(27,27.25]	-0.6904623	-0.7085100	-0.6749247
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5466589	-0.5799533	-0.5278288
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1230802	-0.4260169	0.0929067
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3731068	-0.1517537	0.7289699
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3729574	0.0661146	0.6208757
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5409929	0.2771155	0.7497061
phosphate_star	Indo-Pacific	(28.05,28.1]	0.5076657	0.2796789	0.7104201
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0965955	0.0313837	0.1645365
sal	Atlantic	(-Inf,26]	0.6311126	0.5768579	0.6910233
sal	Atlantic	(26,26.5]	-0.1001769	-0.1414565	-0.0607646
sal	Atlantic	(26.5,26.75]	-0.0157952	-0.1140026	0.0903297
sal	Atlantic	(26.75,27]	-0.0366738	-0.1469100	0.1474498
sal	Atlantic	(27,27.25]	0.0691037	-0.0662481	0.1874131
sal	Atlantic	(27.25,27.5]	0.3459018	0.2192492	0.5033377
sal	Atlantic	(27.5,27.75]	-0.0168705	-0.1223398	0.0732289
sal	Atlantic	(27.75,27.85]	0.5440815	0.4568336	0.6352263
sal	Atlantic	(27.85,27.95]	0.5884236	0.5383895	0.6523049
sal	Atlantic	(27.95,28.05]	0.7317941	0.6777015	0.7764610
sal	Atlantic	(28.05,28.1]	0.8953772	0.8645180	0.9276718
sal	Atlantic	(28.1,28.15]	0.9347301	0.9137569	0.9541828
sal	Atlantic	(28.15,28.2]	0.9335558	0.8989943	0.9515356
sal	Atlantic	(28.2, Inf]	0.7693364	0.7409207	0.7867273
sal	Indo-Pacific	(-Inf,26]	-0.0562473	-0.1150844	0.0026345
sal	Indo-Pacific	(26,26.5]	0.3186784	0.2975414	0.3515956
sal	Indo-Pacific	(26.5,26.75]	0.3021306	0.2706658	0.3297863
sal	Indo-Pacific	(26.75,27]	0.2202367	0.1576258	0.2726404
sal	Indo-Pacific	(27,27.25]	0.4554547	0.4194799	0.4935796
sal	Indo-Pacific	(27.25,27.5]	0.2274426	0.1835674	0.2742818
sal	Indo-Pacific	(27.5,27.75]	-0.1822752	-0.4145325	0.1766072
sal	Indo-Pacific	(27.75,27.85]	-0.3161337	-0.7598921	0.2595357
sal	Indo-Pacific	(27.85,27.95]	-0.1295548	-0.5096531	0.2955530
sal	Indo-Pacific	(27.95,28.05]	-0.2979617	-0.6105867	0.0860930
sal	Indo-Pacific	(28.05,28.1]	-0.2261423	-0.5323207	0.0948425
sal	Indo-Pacific	(28.1, Inf]	0.0091166	-0.1322080	0.1456457
silicate	Atlantic	(-Inf,26]	-0.6269185	-0.7160039	-0.5715226
silicate	Atlantic	(26,26.5]	-0.5017372	-0.5595418	-0.4403636
silicate	Atlantic	(26.5,26.75]	-0.3629006	-0.4745459	-0.2204588
silicate	Atlantic	(26.75,27]	-0.4651929	-0.6296497	-0.2855368
silicate	Atlantic	(27,27.25]	-0.7927108	-0.8583370	-0.7132321
silicate	Atlantic	(27.25,27.5]	-0.8735133	-0.9014685	-0.8338743
silicate	Atlantic	(27.5,27.75]	-0.9084478	-0.9106428	-0.9063229
silicate	Atlantic	(27.75,27.85]	-0.9233557	-0.9342333	-0.9105864
silicate	Atlantic	(27.85,27.95]	-0.8995257	-0.9225269	-0.8697389
silicate	Atlantic	(27.95,28.05]	-0.9009238	-0.9114830	-0.8928654
silicate	Atlantic	(28.05,28.1]	-0.9694451	-0.9701071	-0.9687283
silicate	Atlantic	(28.1,28.15]	-0.9789872	-0.9808463	-0.9757796
silicate	Atlantic	(28.15,28.2]	-0.9164856	-0.9242432	-0.9038746
silicate	Atlantic	(28.2, Inf]	-0.7767658	-0.7987651	-0.7439037
silicate	Indo-Pacific	(-Inf,26]	-0.1369636	-0.2842494	-0.0172040
silicate	Indo-Pacific	(26,26.5]	-0.6735083	-0.7645086	-0.5632737
silicate	Indo-Pacific	(26.5,26.75]	-0.7651057	-0.8056145	-0.6969975
silicate	Indo-Pacific	(26.75,27]	-0.7148777	-0.7549181	-0.6593783
silicate	Indo-Pacific	(27,27.25]	-0.7228941	-0.7816079	-0.6507287
silicate	Indo-Pacific	(27.25,27.5]	-0.6620454	-0.7821522	-0.4968737
silicate	Indo-Pacific	(27.5,27.75]	-0.2989462	-0.7043539	0.2738671
silicate	Indo-Pacific	(27.75,27.85]	0.0693664	-0.4554289	0.7201263
silicate	Indo-Pacific	(27.85,27.95]	0.2587919	-0.1565505	0.6989007
silicate	Indo-Pacific	(27.95,28.05]	0.1360803	-0.2149704	0.5403828
silicate	Indo-Pacific	(28.05,28.1]	0.2303271	-0.0871070	0.5601431
silicate	Indo-Pacific	(28.1, Inf]	0.4771242	0.3746531	0.5755287
temp	Atlantic	(-Inf,26]	-0.0313664	-0.0985090	0.0914707
temp	Atlantic	(26,26.5]	-0.2425732	-0.2855452	-0.1952690
temp	Atlantic	(26.5,26.75]	-0.0318184	-0.1136069	0.0516972
temp	Atlantic	(26.75,27]	0.0388415	-0.0427506	0.1984054
temp	Atlantic	(27,27.25]	0.1017088	-0.0206454	0.2044834
temp	Atlantic	(27.25,27.5]	0.3023327	0.1705006	0.4600338
temp	Atlantic	(27.5,27.75]	0.0080654	-0.0806492	0.0848573
temp	Atlantic	(27.75,27.85]	0.5490122	0.4660372	0.6351725
temp	Atlantic	(27.85,27.95]	0.6063041	0.5530865	0.6615726
temp	Atlantic	(27.95,28.05]	0.7125268	0.6635956	0.7591269
temp	Atlantic	(28.05,28.1]	0.8535259	0.8127263	0.8899206
temp	Atlantic	(28.1,28.15]	0.8891764	0.8628774	0.9131025
temp	Atlantic	(28.15,28.2]	0.9060795	0.8676436	0.9262658
temp	Atlantic	(28.2, Inf]	0.8732247	0.8617846	0.8845375
temp	Indo-Pacific	(-Inf,26]	-0.3692405	-0.4542131	-0.2783963
temp	Indo-Pacific	(26,26.5]	0.2787385	0.2417095	0.3215519
temp	Indo-Pacific	(26.5,26.75]	0.2635742	0.2244492	0.2977101
temp	Indo-Pacific	(26.75,27]	0.1543693	0.0901976	0.2051075
temp	Indo-Pacific	(27,27.25]	0.4226450	0.3896314	0.4554289
temp	Indo-Pacific	(27.25,27.5]	0.3290955	0.3167774	0.3442270
temp	Indo-Pacific	(27.5,27.75]	0.0417310	-0.1957034	0.3741530
temp	Indo-Pacific	(27.75,27.85]	-0.3209131	-0.7538397	0.2576145
temp	Indo-Pacific	(27.85,27.95]	-0.1839879	-0.5484012	0.2364093
temp	Indo-Pacific	(27.95,28.05]	-0.3755959	-0.6835926	0.0039860
temp	Indo-Pacific	(28.05,28.1]	-0.2439390	-0.5548727	0.0968114
temp	Indo-Pacific	(28.1, Inf]	0.1988740	0.0828346	0.3077467

rm(cor_target_predictor, cor_target_predictor_stats)

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1